A note on the discrete approximation of discontinuous curves and surfaces |
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Authors: | A Kouibia M Pasadas |
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Institution: | 1. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain;2. Faculte Poly-Disciplinaire de Taza, Morroco |
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Abstract: | This is a note on the paper A. Kouibia, A.J. López-Linares, M. Pasadas, Approximation of discontinuous curves and surfaces with tangent conditions, J. Comput. Appl. Math. 193 (2006) 51–64]. We consider the constructing problem of a discontinuous parametric curve or surface from a finite set of points and tangent conditions. We develop a method based on the theory of discrete smoothing variational splines conveniently adapted to introduce the tangent conditions and the discontinuity set. We give a convergence result and we analyze some numerical and graphical examples in order to illustrate the effectiveness of the presented method. |
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Keywords: | 65D07 65D10 65D17 |
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